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Simplifying 0.2 + -0.4 = 0.1x + 6 Combine like terms: 0.2 + -0.4 = -0.2 -0.2 = 0.1x + 6 Reorder the terms: -0.2 = 6 + 0.1x Solving -0.2 = 6 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -0.2 + -0.1x = 6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.2 + -0.1x = 6 + 0.0 -0.2 + -0.1x = 6 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.1x = 6 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.1x = 6 + 0.2 -0.1x = 6 + 0.2 Combine like terms: 6 + 0.2 = 6.2 -0.1x = 6.2 Divide each side by '-0.1'. x = -62 Simplifying x = -62
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